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📰 "The robustness of composite pulses elucidated by classical mechanics: Stability around the globe"
arxiv.org/abs/2507.01364 #Physics.Class-Ph #Physics.Atom-Ph #Mechanical #Mechanics #Quant-Ph #Matrix

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arXiv.orgThe robustness of composite pulses elucidated by classical mechanics: Stability around the globeComposite Pulses (CPs) are widely used in Nuclear Magnetic Resonance (NMR), optical spectroscopy, optimal control experiments and quantum computing to manipulate systems that are well-described by a two-level Hamiltonian. A careful design of these pulses can allow the refocusing of an ensemble at a desired state, even if the ensemble experiences imperfections in the magnitude of the external field or resonance offsets. Since the introduction of CPs, several theoretical justifications for their robustness have been suggested. In this work, we suggest another justification based on the classical mechanical concept of a stability matrix. The motion on the Bloch Sphere is mapped to a canonical system of coordinates and the focusing of an ensemble corresponds to caustics, or the vanishing of an appropriate stability matrix element in the canonical coordinates. Our approach highlights the directionality of the refocusing of the ensemble on the Bloch Sphere, revealing how different ensembles refocus along different directions. The approach also clarifies when CPs can induce a change in the width of the ensemble as opposed to simply a rotation of the axes. As a case study, we investigate the $90(x)180(y)90(x)$ CP introduced by Levitt, where the approach provides a new perspective into why this CP is effective.

📰 "Natural Intelligence: the information processing power of life"
arxiv.org/abs/2506.16478 #Dynamics #Q-Bio.Ot #Quant-Ph #Cell

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arXiv.orgNatural Intelligence: the information processing power of lifeMerely by existing, all physical systems contain information, and physical dynamics transforms and processes that information. This note investigates the information processing power of living systems. Living systems harvest free energy from the sun, from geothermal sources, and from each other. They then use that free energy to drive the complex set of chemical interactions that underlie life. All molecules -- be they simple molecules such as water, or complex molecules such as DNA -- register information via their chemical composition. When these molecules undergo chemical reactions, that information is transformed and processed. These chemical transformations can be thought of as elementary logical operations: such bio-ops include the absorption of a photon in a chromophore during photosynthesis, the formation or breaking of covalent, hydrogen, and van der Waals bonds in the process of metabolism and reproduction, or the release of a neurotransmitter molecule when a synapse fires in the brain. This paper estimates the total number of bio-ops that have been, and are being performed, by life on earth. We find that the current number of bio-ops performed by all life on earth is around $10^{33}-10^{35}$ bio-ops per second. The cells in an individual human being perform around $10^{20}-10^{22}$ bio-ops per second, comparable to the information processing power of all the computers, cell phones, and server farms on earth. Depending on how one defines a neural operation, at most a few percent of human bio-ops take place in the firing of neurons and synapses in the brain. Over the course of life on earth, about $10^{50}-10^{52}$ bio-ops have taken place.

📰 "The Integral Decimation Method for Quantum Dynamics and Statistical Mechanics"
arxiv.org/abs/2506.11341 #Cond-Mat.Stat-Mech #Physics.Comp-Ph #Physics.Chem-Ph #Dynamics #Quant-Ph #Matrix

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arXiv.orgThe Integral Decimation Method for Quantum Dynamics and Statistical MechanicsWe present a method to numerically evaluate functional integrals called integral decimation (ID). It constructs a separable decomposition of the integrand as a spectral tensor train (STT), a continuous generalization of the matrix product state. ID builds the STT by mapping the integrand to an auxiliary many-body wavefunction that evolves in time from an initially unentangled state. Each body-ordered term of the action corresponds to a quantum gate, applied to the state during its evolution. The gates generate entanglement, and decimation during the gate sequence compresses the integral, alleviating memory bottlenecks in high dimensional integration. In the application of ID to moment-generating and partition functions, the continuous nature of the STTs allows for analytical differentiation of the result. To demonstrate its versatility, we employ ID to calculate the partition function of a classical XY model and to solve a non-Markovian quantum relaxation problem. By circumventing the barren plateau problem that limited our earlier STT-based approaches to quantum relaxation [J. Chem. Phys. 161, 234111 (2024)], ID enables high-accuracy simulations of quantum dynamics in systems as large as a 40-site chain.

📰 "Dynamic and Geometric Shifts in Wave Scattering"
arxiv.org/abs/2506.07144 #Physics.Optics #Mechanics #Quant-Ph #Matrix

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arXiv.orgDynamic and Geometric Shifts in Wave ScatteringSince Berry's pioneering 1984 work, the separation of geometric and dynamic contributions in the phase of an evolving wave has become fundamental in wave physics, underpinning diverse phenomena in quantum mechanics, optics, and condensed matter. Here we extend this geometric-dynamic decomposition from the wave-evolution phase to a distinct class of wave scattering problems, where observables (such as frequency, momentum, or position) experience shifts in their expectation values between the input and output wave sates. We describe this class of problems using a unitary scattering matrix and the associated generalized Wigner-Smith operator (GWSO), which involves gradients of the scattering matrix with respect to conjugate variables (time, position, or momentum, respectively). We show that both the GWSO and the resulting expectation-values shifts admit gauge-invariant decompositions into dynamic and geometric parts, related respectively to gradients of the eigenvalues and eigenvectors of the scattering matrix. We illustrate this general theory through a series of examples, including frequency shifts in polarized-light transmission through a time-varying waveplate (linked to the Pancharatnam-Berry phase), momentum shifts at spatially varying metasurfaces, optical forces, beam shifts upon reflection at a dielectric interface, and Wigner time delays in 1D scattering. This unifying framework illuminates the interplay between geometry and dynamics in wave scattering and can be readily applied to a broad range of physical systems.

📰 "Effects of inert background gases and photo-illumination on three-color electromagnetically induced transparency of rubidium vapor"
arxiv.org/abs/2506.05656 #Physics.Plasm-Ph #Physics.Atm-Clus #Physics.Atom-Ph #Quant-Ph #Pressure #Cell

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arXiv.orgEffects of inert background gases and photo-illumination on three-color electromagnetically induced transparency of rubidium vaporThree-color Rydberg electromagnetically induced transparency (EIT) of room-temperature Rb vapor in the presence of inert gases (Ar, Ne, and N$_2$) at 50~mTorr and 500~mTorr is investigated. The observed EIT lines shift and develop blue-detuned satellite lines, dependent on inert-gas species and pressure. The separations of the satellite from the main EIT lines are approximately pressure-independent, while their strength increases with inert-gas pressure. The satellite lines are attributed to hyperfine collisions of the intermediate $5D_{3/2}$ state. Further, analyzing the Stark effect of Rydberg levels, it is found that the inert gases suppress static electric fields in the vapor cells, which we induce by photo-illumination of the cell walls with an auxiliary 453-nm laser. In the work, we utilize Rydberg levels with principal quantum numbers $n$ = 25 and 50 and angular momenta $\ell$ = 3 up to 6, excited by the EIT lasers and optional radio-frequency dressing fields. The work is of interest in the spectroscopic study of mixed-species warm vapors, in sensing applications of Rydberg atoms in vapor cells, and in non-invasive electric-field diagnostics of low-pressure discharge plasma.

📰 "Quantum Cognition Machine Learning for Forecasting Chromosomal Instability"
arxiv.org/abs/2506.03199 #Mechanical #Quant-Ph #Q-Bio.Qm #Cs.Lg #Cell

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arXiv.orgQuantum Cognition Machine Learning for Forecasting Chromosomal InstabilityThe accurate prediction of chromosomal instability from the morphology of circulating tumor cells (CTCs) enables real-time detection of CTCs with high metastatic potential in the context of liquid biopsy diagnostics. However, it presents a significant challenge due to the high dimensionality and complexity of single-cell digital pathology data. Here, we introduce the application of Quantum Cognition Machine Learning (QCML), a quantum-inspired computational framework, to estimate morphology-predicted chromosomal instability in CTCs from patients with metastatic breast cancer. QCML leverages quantum mechanical principles to represent data as state vectors in a Hilbert space, enabling context-aware feature modeling, dimensionality reduction, and enhanced generalization without requiring curated feature selection. QCML outperforms conventional machine learning methods when tested on out of sample verification CTCs, achieving higher accuracy in identifying predicted large-scale state transitions (pLST) status from CTC-derived morphology features. These preliminary findings support the application of QCML as a novel machine learning tool with superior performance in high-dimensional, low-sample-size biomedical contexts. QCML enables the simulation of cognition-like learning for the identification of biologically meaningful prediction of chromosomal instability from CTC morphology, offering a novel tool for CTC classification in liquid biopsy.

📰 "On the Potential of Microtubules for Scalable Quantum Computation"
arxiv.org/abs/2505.20364
#Physics.Bio-Ph #Microtubule #Quant-Ph

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arXiv.orgOn the Potential of Microtubules for Scalable Quantum ComputationWe examine the quantum coherence properties of tubulin heterodimers in the Microtubule (MT) lattice. In the cavity-MT model proposed by the authors, according to which the MT interiors are modeled as high-Q quantum-electrodynamics cavities, decoherence-resistant entangled states have been argued to emerge under physiological conditions, with decoherence times of order $\mathcal{O}(10^{-6})$ s. The latter is the result of strong electric-dipole interactions of tubulin dimers with ordered-water dipole quanta in the MT interior. We re-interpret the classical nonlinear (pseudospin) $σ$-models, describing the emergent dynamics of solitonic excitations in such systems, as representing quantum coherent (or possibly pointer) states, arising from the incomplete collapse of quantum-coherent dipole states. These solitons mediate dissipation-free energy transfer across the MT networks. We underpin logic-gate-like behavior through MT-associated proteins and detail how these structures may support scalable, ambient-temperature quantum computation, with the fundamental unit of information storage being a quDit associated with the basic unit of the MT honeycomb lattice. We describe in detail the decision-making process, after the action of an external stimulus, during which optimal path selection for energy-loss-free signal and information transport across the MT network emerges. Finally, we propose experimental pathways, including Rabi-splitting spectroscopy and entangled surface plasmon probes, to experimentally validate our predictions for MT-based, scalable quantum computation.

📰 "On the Potential of Microtubules for Scalable Quantum Computation"
arxiv.org/abs/2505.20364 #Physics.Bio-Ph #Microtubule #Quant-Ph #Dynamics

arXiv logo
arXiv.orgOn the Potential of Microtubules for Scalable Quantum ComputationWe examine the quantum coherence properties of tubulin heterodimers in the Microtubule (MT) lattice. In the cavity-MT model proposed by the authors, according to which the MT interiors are modeled as high-Q quantum-electrodynamics cavities, decoherence-resistant entangled states have been argued to emerge under physiological conditions, with decoherence times of order $\mathcal{O}(10^{-6})$ s. The latter is the result of strong electric-dipole interactions of tubulin dimers with ordered-water dipole quanta in the MT interior. We re-interpret the classical nonlinear (pseudospin) $σ$-models, describing the emergent dynamics of solitonic excitations in such systems, as representing quantum coherent (or possibly pointer) states, arising from the incomplete collapse of quantum-coherent dipole states. These solitons mediate dissipation-free energy transfer across the MT networks. We underpin logic-gate-like behavior through MT-associated proteins and detail how these structures may support scalable, ambient-temperature quantum computation, with the fundamental unit of information storage being a quDit associated with the basic unit of the MT honeycomb lattice. We describe in detail the decision-making process, after the action of an external stimulus, during which optimal path selection for energy-loss-free signal and information transport across the MT network emerges. Finally, we propose experimental pathways, including Rabi-splitting spectroscopy and entangled surface plasmon probes, to experimentally validate our predictions for MT-based, scalable quantum computation.

📰 "Reduced Density Matrices and Phase-Space Distributions in Thermofield Dynamics"
arxiv.org/abs/2505.21302 #Physics.Chem-Ph #Quant-Ph #Dynamics #Matrix

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arXiv.orgReduced Density Matrices and Phase-Space Distributions in Thermofield DynamicsThermofield dynamics (TFD) is a powerful framework to account for thermal effects in a wavefunction setting, and has been extensively used in physics and quantum optics. TFD relies on a duplicated state space and creates a correlated two-mode thermal state via a Bogoliubov transformation acting on the vacuum state. However, a very useful variant of TFD uses the vacuum state as initial condition and transfers the Bogoliubov transformation into the propagator. This variant, referred to here as the inverse Bogoliubov transformation (iBT) variant, has recently been applied to vibronic coupling problems and coupled-oscillator Hamiltonians in a chemistry context, where the method is combined with efficient tensor network methods for high-dimensional quantum propagation. In the iBT/TFD representation, the mode expectation values are clearly defined and easy to calculate, but the thermalized reduced particle distributions such as the reduced 1-particle densities or Wigner distributions are highly non-trivial due to the Bogoliubov back-transformation of the original thermal TFD wavefunction. Here we derive formal expressions for the reduced 1-particle density matrix (1-RDM) that uses the correlations between the real and tilde modes encoded in the associated reduced 2-particle density matrix (2-RDM). We apply this formalism to define the 1-RDM and the Wigner distributions in the special case of a thermal harmonic oscillator. Moreover, we discuss several approximate schemes that can be extended to higher-dimensional distributions. These methods are demonstrated for the thermal reduced 1-particle density of an anharmonic oscillator.